Prediction of hydrodynamic characteristics of a 3D liquid-solid tapered fluidized bed using kinetic theory of rough spheres

IF 2.4 3区 工程技术 Granular Matter Pub Date : 2024-07-06 DOI:10.1007/s10035-024-01445-z
Ruichao Tian, Jianlin Xie, Shuyan Wang, Yueming Guo, Xiaoxue Jiang, Konghang Yang, Chaoxu Shen
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Abstract

The fluidized bed bioreactor is an economical and efficient method for wastewater treatment. In the fluidized bed bioreactor, fluidized particles carrying microorganisms consume the organic pollutants in wastewater. The collision and friction between carrier particles in the fluidized bed can affect the efficiency of wastewater treatment. Therefore, understanding the hydrodynamics of fluidized bed bioreactors is crucial. In this study, the particle collision velocity depending on particle volume fraction and granular temperature, as well as considering the influence of particle surface roughness and elasticity through the critical Stokes number, a dynamic restitution coefficient model for wet rough particles is developed to provide a more accurate description of the collision behavior between wet rough particles. The model is incorporated into the kinetic theory of rough spheres to perform numerical simulations on the hydrodynamic characteristics of a three-dimensional liquid-solid tapered fluidized bed using the two-fluid model. The simulation results exhibit better agreement with experimental data by Wu et al. compared to prior studies. Furthermore, sensitivity analyses are conducted on drag force, virtual mass force, and lift force. It is observed that the Koch-Hill drag model predicts the bed expansion heights closest to the measured results. Additionally, the impacts of static bed height and particle density on the fluidized bed hydrodynamics are investigated. Simulation results indicate that an increase in static bed height initially leads to an increase and then a decrease in particle collision velocity. Within the current study scope, particle collision velocity exhibits a monotonic increase with increasing particle density.

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利用粗糙球体动力学理论预测三维液固锥形流化床的流体力学特性
流化床生物反应器是一种经济、高效的废水处理方法。在流化床生物反应器中,携带微生物的流化颗粒会消耗废水中的有机污染物。流化床中载体颗粒之间的碰撞和摩擦会影响废水处理的效率。因此,了解流化床生物反应器的流体动力学至关重要。在本研究中,颗粒碰撞速度取决于颗粒体积分数和颗粒温度,并通过临界斯托克斯数考虑了颗粒表面粗糙度和弹性的影响,建立了湿粗糙颗粒的动态恢复系数模型,以便更准确地描述湿粗糙颗粒之间的碰撞行为。将该模型纳入粗糙球体动力学理论,利用双流体模型对三维液固锥形流化床的流体力学特性进行了数值模拟。与之前的研究相比,模拟结果与 Wu 等人的实验数据更为吻合。此外,还对阻力、虚拟质量力和升力进行了敏感性分析。结果表明,Koch-Hill 阻力模型预测的床面膨胀高度与测量结果最为接近。此外,还研究了静态床层高度和颗粒密度对流化床流体力学的影响。模拟结果表明,静态床层高度的增加最初会导致颗粒碰撞速度的增加,随后会降低。在当前研究范围内,颗粒碰撞速度随着颗粒密度的增加而单调增加。
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来源期刊
Granular Matter
Granular Matter MATERIALS SCIENCE, MULTIDISCIPLINARY-MECHANICS
CiteScore
4.30
自引率
8.30%
发文量
95
期刊介绍: Although many phenomena observed in granular materials are still not yet fully understood, important contributions have been made to further our understanding using modern tools from statistical mechanics, micro-mechanics, and computational science. These modern tools apply to disordered systems, phase transitions, instabilities or intermittent behavior and the performance of discrete particle simulations. >> Until now, however, many of these results were only to be found scattered throughout the literature. Physicists are often unaware of the theories and results published by engineers or other fields - and vice versa. The journal Granular Matter thus serves as an interdisciplinary platform of communication among researchers of various disciplines who are involved in the basic research on granular media. It helps to establish a common language and gather articles under one single roof that up to now have been spread over many journals in a variety of fields. Notwithstanding, highly applied or technical work is beyond the scope of this journal.
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